
'''simple docstring'''

import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

UpperCAmelCase__ :			int											=		3







def 	A  (   UpperCamelCase_       :  int   )       ->							int:







			'''simple docstring'''



			print("Generating primitive root of p"   )
			while True:
						lowerCAmelCase__										=				random.randrange(3    ,						UpperCamelCase_   )
						if pow(UpperCamelCase_    ,						2    ,						UpperCamelCase_   ) == 1:
									continue
						if pow(UpperCamelCase_    ,						UpperCamelCase_    ,						UpperCamelCase_   ) == 1:
									continue
						return g







def 	A  (   UpperCamelCase_       :  int   )       ->							tuple[tuple[int, int, int, int], tuple[int, int]]:







			'''simple docstring'''



			print("Generating prime p..."   )
			lowerCAmelCase__										=				rabin_miller.generate_large_prime(UpperCamelCase_   )  # select large prime number.
			lowerCAmelCase__										=				primitive_root(UpperCamelCase_   )  # one primitive root on modulo p.
			lowerCAmelCase__										=				random.randrange(3    ,						UpperCamelCase_   )  # private_key -> have to be greater than 2 for safety.
			lowerCAmelCase__										=				cryptomath.find_mod_inverse(pow(UpperCamelCase_    ,						UpperCamelCase_    ,						UpperCamelCase_   )    ,						UpperCamelCase_   )

			lowerCAmelCase__										=				(key_size, e_a, e_a, p)
			lowerCAmelCase__										=				(key_size, d)

			return public_key, private_key







def 	A  (   UpperCamelCase_       :  str    ,						UpperCamelCase_       :  int   )       ->							None:







			'''simple docstring'''



			if os.path.exists(F"""{name}_pubkey.txt"""   ) or os.path.exists(F"""{name}_privkey.txt"""   ):
						print("\nWARNING:"   )
						print(
						    F"""\"{name}_pubkey.txt\" or \"{name}_privkey.txt\" already exists. \n"""
						    "Use a different name or delete these files and re-run this program."   )
						sys.exit()

			lowerCAmelCase__						,lowerCAmelCase__										=				generate_key(UpperCamelCase_   )
			print(F"""\nWriting public key to file {name}_pubkey.txt..."""   )
			with open(F"""{name}_pubkey.txt"""    ,						"w"   ) as fo:
						fo.write(F"""{public_key[0]},{public_key[1]},{public_key[2]},{public_key[3]}"""   )

			print(F"""Writing private key to file {name}_privkey.txt..."""   )
			with open(F"""{name}_privkey.txt"""    ,						"w"   ) as fo:
						fo.write(F"""{private_key[0]},{private_key[1]}"""   )







def 	A  (   )       ->							None:







			'''simple docstring'''



			print("Making key files..."   )
			make_key_files("elgamal"    ,						20_48   )
			print("Key files generation successful"   )


if __name__ == "__main__":
		main()






def 	lowerCamelCase					(	UpperCamelCase     :				int = 60_08_51_47_51_43							)   ->    int:

		try:
				_lowerCamelCase				   =  int(UpperCamelCase							)
		except (TypeError, ValueError):
				raise TypeError('Parameter n must be int or castable to int.'							)
		if n <= 0:
				raise ValueError('Parameter n must be greater than or equal to one.'							)
		_lowerCamelCase				   =  1
		_lowerCamelCase				   =  2
		while i * i <= n:
				while n % i == 0:
						_lowerCamelCase				   =  i
						n //= i
				i += 1
		if n > 1:
				_lowerCamelCase				   =  n
		return int(UpperCamelCase							)


if __name__ == "__main__":
				print(F'''{solution() = }''')